Abstract
Brain aneurysm rupture has been reported to be directly related to the size of aneurysms. The current method used to determine aneurysm size is to manually measure the width of the neck and height of the dome on a computer screen. Because aneurysms usually have complicated shapes, using the size of the aneurysm neck and dome may not be accurate and may overlook important geometrical information. In this paper we present a level set based illusory surface algorithm to capture the aneurysms from the vascular tree. Since the aneurysms are described by level set functions, not only the volume but also the curvature of aneurysms can be computed for medical studies. Experiments and comparisons with models used for capturing illusory contours in 2D images are performed. This includes applications to clinical image data demonstrating the procedure of accurately capturing a middle cerebral artery aneurysm.
Chapter PDF
Similar content being viewed by others
References
Kassell, N.F., Torner, J.C.: Aneurysmal rebleeding: a preliminary report from the Cooperative Aneurysm Study. Neurosurgery 13(5), 479–481 (1983)
Unruptured intracranial aneurysms–risk of rupture and risks of surgical intervention. International Study of Unruptured Intracranial Aneurysms Investigators. N. Engl. J. Med. 339(24), 1725–1733 (1998)
Raghavan, M.L., Ma, B., Harbaugh, R.E.: Quantified aneurysm shape and rupture risk. J. Neurosurg. 102(2), 355–362 (2005)
Geiger, D., Pao, H.K., Rubin, N.: Salient and Multiple illusory surfaces. In: IEEE Computer Society Conference on Conputer Vision and Pattern Recognition, San Barbara, CA (June 1998)
Sarti, A., Malladi, R., Sethian, J.A.: Subjective surfaces: A geometric model for boundary completion. Int. J. Comp. Vision 46(3), 201–221 (2002)
Zhu, W., Chan, T.F.: Capture illusory contours: A level set based approach. UCLA CAM Report 03-65 (2003)
Yim, P.J., Cebral, J.J., Mullick, R., Marcos, H.B., Choyke, P.L.: Vessel surface reconstruction with a tubular deformable model. IEEE Transactions on Medical Imaging 20(12), 1411–1421 (2001)
Chen, J., Amini, A.A.: Quantifying 3-D vascular structures in MRA images using hybrid PDE and geometric deformable models. IEEE Transactions on Medical Imaging 23(10), 1251–1262 (2004)
Dong, B., Ye, J., Osher, S.J., Dinov, I.: Level set based nonlocal surface restoration, CAM-Report 07-44 (2007)
Tsai, R., Cheng, L.-T., Osher, S.J., Zhao, H.K.: Fast sweeping method for a class of Hamilton-Jacobi equations. SIAM J. Numer. Analy. 41, 673–694 (2003)
Osher, S.J., Fedkiw, R.P.: The Level Set Method and Dynamic Implicit Surfaces. Springer, New York (2002)
Zhao, H.K., Chan, T.F., Merriman, B., Osher, S.J.: A variational level set approach to multiphase motion. J. Comput. Phys. 127, 179–195 (1996)
Peng, D., Merriman, B., Osher, S.J., Zhao, H.K., Kang, M.: A PDE-based fast local level set method. J. Comput. Phys. 155, 410–438 (1999)
Goldman, R.: Curvature formulas for implicit curves and surfaces. Computer Aided Geometric Design 22, 632–658 (2005)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dong, B., Chien, A., Mao, Y., Ye, J., Osher, S. (2008). Level Set Based Surface Capturing in 3D Medical Images. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2008. MICCAI 2008. Lecture Notes in Computer Science, vol 5241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85988-8_20
Download citation
DOI: https://doi.org/10.1007/978-3-540-85988-8_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85987-1
Online ISBN: 978-3-540-85988-8
eBook Packages: Computer ScienceComputer Science (R0)